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A small-gain control method for nonlinear cascaded systems with dynamic uncertainties
Abstract
Some robust control problems for a class of nonlinear cascaded systems in the presence of state and input driven unmeasured dynamics are analyzed. A stepwise constructive control methodology is proposed on the basis of the nonlinear small-gain theorem. The flexibility of the approach in tackling dynamic uncertainties is illustrated by demonstrating that several results for special classes of cascaded systems, considered previously in the literature, may be viewed as special instances of the present results.
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Citations
Cited by
Constructive nonlinear control: a historical perspective
Kokotović, P., & Arcak, M. (2001) · Automatica · doi:10.1016/s0005-1098(01)00002-4 · Cited by 720
Robust Adaptive Dynamic Programming and Feedback Stabilization of Nonlinear Systems
Jiang, Y., & Jiang, Z.-P. (2014) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2013.2294968 · Cited by 414
Self-citationA Small-Gain Approach to Robust Event-Triggered Control of Nonlinear Systems
Liu, T., & Jiang, Z.-P. (2015) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2015.2396645 · Cited by 398
Self-citationYang, Y., Feng, G., & Ren, J. (2004) · IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans · doi:10.1109/tsmca.2004.824870 · Cited by 396
Gao, W., Jiang, Y., Jiang, Z.-P., & Chai, T. (2016) · Automatica · doi:10.1016/j.automatica.2016.05.008 · Cited by 234
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Metadata
- Authors
- Jiang, Z.-P., & Marcels, I. M. Y.
- Venue
- IEEE Transactions on Automatic Control
- Published
- 1997-03
- Volume
- 42
- Issue
- 3
- Pages
- 292-308
- ISSN
- 0018-9286 (ISSN-L)
- OpenAlex
- W1981417706
- Cited by
- 322
- References
- 0
- FWCI
- 23.06
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: A small-gain control method for nonlinear cascaded systems with dynamic uncertainties. https://app.cochat.ai/papers/10.1109/9.557574
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- Jiang, Z.-P., & Marcels, I. M. Y. (1997). A small-gain control method for nonlinear cascaded systems with dynamic uncertainties. IEEE Transactions on Automatic Control. https://doi.org/10.1109/9.557574
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.